Quantum State Discrimination with General Figures of Merit
Won-Young Hwang, Yeong-Deok Han
TL;DR
This paper addresses quantum state discrimination using general figures of merit, demonstrating that optimal measurement strategies and conditional probabilities are consistent across different monotonic figures of merit for symmetric quantum bits, leveraging the no-signaling principle.
Contribution
It provides a unified solution for quantum state discrimination with various figures of merit, revealing the invariance of optimal strategies for symmetric quantum bits.
Findings
Conditional probability form is identical for all figures of merit.
Optimal measurement strategies are the same across all monotonous figures of merit.
The no-signaling principle underpins the solution approach.
Abstract
We solve the problem of quantum state discrimination with "general (symmetric) figures of merit" for an even number of symmetric quantum bits with use of the no-signaling principle. It turns out that conditional probability has the same form for any figure of merit. Optimal measurement and corresponding conditional probability are the same for any monotonous figure of merit.
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